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pro vyhledávání: '"K.I. Beidar"'
Autor:
K.I. Beidar, Ying-Fen Lin
Publikováno v:
Communications in Algebra. 33:2697-2703
For (skew)symmetric elements of prime rings with involution we describe the additive maps which behave like derivations when acting on Lie zero products.
Publikováno v:
Monatshefte f�r Mathematik. 144:265-273
Let Φ be a fixed point free group given by the presentation \(\langle A, B\,\vert\, A^\mu=1,\, B^\nu=A^t,\, BAB^{-1}=A^\rho\rangle\) where μ and ρ are relative prime numbers, t = μ/s and s = gcd(ρ − 1,μ), and ν is the order of ρ modulo μ.
Publikováno v:
Communications in Algebra. 32:2827-2839
We study some one-sided ideals of row bounded and of column bounded matrix rings over free algebras. Obtained results are applied to answer several open problems on subhereditary radicals of associative rings. In particular we show that the right str
Publikováno v:
Communications in Algebra. 32:3543-3562
In connection with the fundamental Separativity Problem for regular rings, we show that a regular algebra R over a commutative ring admits a uniform diagonalisation formula where the entries of P and Q are algebra expressions in the a i and the a i '
Publikováno v:
Israel Journal of Mathematics. 141:285-313
LetB andQ be associative algebras and letS be a Jordan subalgebra ofB. Letf(x 1,…,x m ) be a (noncommutative) multilinear polynomial such thatS is closed underf. Letα:S→Q be anf-homomorphism in the sense that it is a linear map preservingf. Unde
Publikováno v:
Journal of Algebra. 282:626-637
It is shown that if M is a self-generator right R-module, then M is non-M-singular and CS iff M is M-tight and End ( M R ) is a right PP ring. In particular, right nonsingular right CS-rings R are precisely right PP and right R-tight. As applications
Autor:
K.I. Beidar, Ying-Fen Lin
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 134:1023-1040
We describe surjective linear maps preserving commutativity from (symmetric elements of) any algebra (with involution) onto (symmetric elements of) a prime algebra (with involution) not satisfying polynomial identities of low degree. Bijective commut
Publikováno v:
Archiv der Mathematik. 83:344-352
A ring is said to be a left essential extension of a reduced ring (domain) if it contains a left ideal which is a reduced ring (domain) and intersects nontrivially every nonzero twosided ideal of the ring. We prove that every ring which is a left ess
Autor:
K.I. Beidar, S. K. Jain
Publikováno v:
Communications in Algebra. 32:315-332
Recently Jain, Lopez-Permouth and Syed classified indecomposable non-local right continuous right π-rings. In the present article we describe the structure of right continuous right π-rings.
Publikováno v:
Finite Fields and Their Applications. 9:400-412
Let F be a finite field of characteristic not 2, and S@?F a subset with three elements. Consider the collectionS={S.a+b|a,b@?F,a 0}.Then (F,S) is a simple 2-design and the parameter @l of (F,S) is 1, 2, 3 or 6. We find in this paper the full automorp